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A hyperbolic reaction–diffusion model for the hantavirus infection

✍ Scribed by E. Barbera; C. Currò; G. Valenti

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
556 KB
Volume
31
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

A hyperbolic reaction–diffusion model for the hantavirus infection, generalizing the parabolic set of equations recently derived by Abramson and Kenkre, is proposed within the context of Extended Thermodynamics. The model, as in the parabolic case, captures some of the realistic features of the dynamics of hantavirus in mice population, while it avoids the unphysical features concerning the instantaneous diffusive effects typical of parabolic equations. Traveling wave solutions, related to the spread of the infection in the landscape, are investigated. Both analytical and numerical results obtained herein are discussed and validated from the behavior of the biological system. Copyright © 2007 John Wiley & Sons, Ltd.

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